{
  "id": "1306.3777",
  "version": "v4",
  "published": "2013-06-17T09:00:38.000Z",
  "updated": "2014-03-17T13:04:30.000Z",
  "title": "Block Maps between Primitive Uniform and Pisot Substitutions",
  "authors": [
    "Ville Salo",
    "Ilkka Törmä"
  ],
  "comment": "21 pages. Minor corrections to grammar and some proofs. To appear in Ergodic Theory and Dynamical Systems after editorial input by Cambridge University Press. Copyright held by Cambridge University Press",
  "doi": "10.1017/etds.2014.29",
  "categories": [
    "math.DS",
    "cs.FL"
  ],
  "abstract": "In this article, we prove that for all pairs of primitive Pisot or uniform substitutions with the same dominating eigenvalue, there exists a finite set of block maps such that every block map between the corresponding subshifts is an element of this set, up to a shift.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-03-17T13:04:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "block map",
      "pisot substitutions",
      "primitive uniform",
      "finite set",
      "uniform substitutions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.3777S"
    }
  }
}